Titlebook: Lectures on Hermitian-Einstein Metrics for Stable Bundles and K?hler-Einstein Metrics; Delivered at the Ger Yum-Tong Siu Book 1987 Springer

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個人長篇演說

,K?hler-Einstein Metrics for the Case of Negative and Zero Anticanonical Class,hen the anticanonical class of M is either negative or zero. A K?hler-Einstein metric means a K?hler metric whose Ricci curvature is a constant multiple of the K?hler metric. First we formulate the problem in the form a Monge-Ampère equation.

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,Obstuctions to the Existence of K?hler-Einstein Metrics,e is the non-reductivity of the automorphism group discovered by Matsushima [M] and Lichnerowicz [Li]. the second one is the nonvanishing of an invariant for holomorphic vector fields due to Kazdan, Warner [K-W], and Futaki [F].

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978-3-7643-1931-1Springer Basel AG 1987

破譯

Lectures on Hermitian-Einstein Metrics for Stable Bundles and K?hler-Einstein Metrics978-3-0348-7486-1Series ISSN 1661-237X Series E-ISSN 2296-5041

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